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Finding the Third Proportional to 190,293 and 418,254

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Solution

The third proportional to 190,293 and 418,254 is: 919,300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,293 : 418,254 = 418,254 : x
  2. Step 2: Convert to fraction form
    190,293/418,254 = 418,254/x
  3. Step 3: Cross multiply
    190,293x = 418,254 × 418,254
  4. Step 4: Simplify right side
    190,293x = 174,936,408,516
  5. Step 5: Solve for x
    x = 174,936,408,516/190,293
  6. Step 6: Final answer
    x = 919,300.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.